Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates of the vertex.

Q: Reorder the equation y=x^2-4x+3 into the form y=(x-h)^2+k

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Q: Rewrite the equation 4x2 + 3y2 – 16x – 12y + 16 = 0 to standard form and identify the coordinates of…

A: The given equation is 4x2+3y2-16x-12y+16=0. We need to first rewrite it to standard form. The have…

Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

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Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

Q: Convert the following equation into vertex form by completing the square. x² – 18x + 21 O (x – 8)² +…

A: Given :                       x2 - 18 x + 21 Convert the equation into vertex form.

Q: (1 – x)y" + 2xy' = 0 , y1

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Q: x² + y² + 8x − 10y-9=0 Find the Center and Radius

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Q: Convert the following equation into vertex form by completing the square. x2 - 18x +21 O (z- 8) + 21…

A: The explanation of answer as follows

Q: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

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Q: 1. Complete the square to write y = -2 x2 + 16 x – 21 in the form y = a (x - h)² + k

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Q: Consider the equation: x + 4 – 77 = 0 A) First, use the "completing the square" process to write…

A: detailed solution is given below

Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (-4, -4). (

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Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: Complete the square to find the center and radius: x^2+y^^2+8x+8y=0

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Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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Q: Pexny)= 4x +6y, gsy)=xャイ=13

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Q: 3. Get the following equations in 'y =" form: 2x + y = 3 and 6y 12x + 18

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Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     x2 + 4y2…

A: Symmetry is when an object is same on both the sides

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

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Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: Solve the system of equations, and graph the lines.

A: Given: y=2x+6y=-x+3

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

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Q: 30. Find the vertex of the parabola y = 4x² – 4x + 3 a. 0.5,2 b. 0.5,-2 C. -0.5, 2 d. -0.5, -2

A: I have draw the graph of parabola and find that Vertex=(0.5, 2)  Hence option (a) is correct

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: Find the X and y Intercepts (a) ) V= Y%3DX+6

A: We have,  y = x + 6 At y-intercept x = 0: therefore, y = 0 + 6 = 6. At x-intercept y = 0: therefore,…

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation.…

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Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: The area of the triangle which the line 2x - 3y + 6 = 0 forms with the coordinate axes is…

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Q: 6) Use the process of completing the square to transform the General Form equation below into…

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Q: III. Transform the equation of the parabola to the standard vertex form by completing the square.…

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Q: Translate the axes to eliminate the first degree terms of 3x^(2)+xy+y^(2)-16x-10y+30=0 Find h and k

A: We have to translate the axes to eliminate the first degree terms of 3x2+xy+y2-16x-10y+30=0 To Find…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: bétween the spheres and 2- + Y 4 if the dênsity at any point is equal to the square of its distance…

A: Given: The solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4  The…

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+8x+12. If there is…

A: The required solution is

Q: Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are…

A: Solve #c

Q: 6) Use the process of completing the square to transform the General Form equation below into…

A: Given,  x2+y2−10x−16y+53=0Concept used:x2−2ax+a2=x−a2

Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

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Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

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Q: Reorder the equation y=x^2-16x+63 into the form y=(x-h)^2+k

A: Topic = Quadratic equation

Q: Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+k

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Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: 2: Find the area of the triangle formed by the axes of co-ordinates and the straight line 5x + 7y =…

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Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

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Q: Find the vertex of this parabola y = −0.012t2 + 0.272t + 0.458

A: The standard equation of a parabola is   y=at2+bt+c ,     where a≠0. Now, we have two cases: Case I:…

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation. x2…

A: The objective of the question is determine the discriminate , solutions of the given equation and…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

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